In English, adverbs are usually identified by the suffix -ly.
In Latin, the recognizable suffix for an adverb in the positive degree is either -e or -iter.
Caesar celeriter inimicum superavit.
Caesar celerius inimicum superavit.
Caesar celerissime inimicum superavit.
dea pulchre in monte canavit.
dea pulchrius in monte canavit.
dea pulcherrime in monte canavit.
Graeci fortiter Troianos necaverunt.
Graeci fortius Troianos necaverunt.
Graeci fortissime Troianos necaverunt.
There aren't very many irregular Latin adverbs, and the ones that exist are often also irregular in their adjective form. This makes irregular adverbs easy to remember and use!
Line 15: quam Iūnō fertur terrīs magis omnibus ūnam
magis means more nearly
Line 21: hinc populum lātē regem bellōque superbum
late means widely.
Line 31: arcēbat longē Latiō, multōsque per annōs
longe means far from.
These videos are great explanations for how Latin adverbs are formed, and practice makes perfect for identifying and using adverbs.